Abstract
A Proportional-Derivative (PD) control scheme based on on-line compensation of disturbance signals is proposed for robust and efficient tracking of desired motion trajectories in a three-axis milling machine tool. The friction and cutting forces are lumped into an unknown bounded time-varying disturbance input signal affecting the dynamics of the motion axes of the milling machine. An estimation method is applied for on-line estimation of the disturbance and velocity signals required to implement the motion controllers. Simulation results are provided to show the efficient and robust tracking performance of the proposed motion control scheme and the fast and effective estimation of the perturbation and velocity signals.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Schmitz, T.L., Smith, K.S.: Machining Dynamics – Frequency Response to Improved Productivity. Springer, New York (2009)
Stephenson, D.A., Agapiou, J.S.: Metal Cutting Theory and Practice, 2nd edn. Taylor & Francis (2006)
Lee, J., Dixon, W.E., Ziegert, J.C.: Adaptive Nonlinear Contour Coupling Control. Int. J. Adv. Manuf. Technol (2011), doi:10.1007/s00170-011-3760-1
Fortgang, J., Singhose, W., Márquez, J., Perez, J.: Command Shaping Control for Micro- milling Operations. International Journal of Control, Automation, and Systems 9(6), 1136–1145 (2011)
Byung-Sub, K., Seung-Kook, R., Jong-Kweon, P.: Development of a 3-axis Desktop Milling Machine and a CNC System Using Advanced Modern Control Algorithms. International Journal of Precision Engineering and Manufacturing 11(1), 39–47 (2010)
Yao, B., Al-Majed, M., Tomizuka, M.: High-Performance Robust Motion Control of Machine Tools: An Adaptive Robust Control Approach and Comparative Experiments. IEEE/ASME Transactions on Mechatronics 2(2), 63–76 (1997)
Zheng-Hong, T., Syh-Shiuh, Y., Pau-Lo, H.: The Integrated Linear and Nonlinear Motion Control Design for Precise CNC Machine Tools. In: 2004 IEEE International Conference on Control Applications, pp. 724–729. IEEE Press, Taipei (2004)
Zheng, J., Zhang, M., Meng, K.: Modeling and Design Servo System of CNC Machine Tools. In: 2006 IEEE International Conference on Mechatronics and Automation, pp. 1964–1969. IEEE Press, Luoyang (2006)
Sira-Ramirez, H., Feliu-Batlle, V., Beltran-Carbajal, F., Blanco-Ortega, A.: Sigma-Delta Modulation Sliding Mode Observers for Linear Systems Subject to Locally Unstable Inputs. In: 16th Mediterranean Conference on Control and Automation, pp. 344–349. IEEE Press, Ajaccio (2008)
Albano, L.D., Suh, N.P.: Engineering Design. In: Kreith, F. (ed.) Mechanical Engineering Handbook, pp. 11-1–11-109. CRC Press, Boca Raton (1999)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2012 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Beltrán-Carbajal, F. et al. (2012). Robust Proportional-Derivative Control of a Three-Axis Milling Machine Tool. In: Su, CY., Rakheja, S., Liu, H. (eds) Intelligent Robotics and Applications. ICIRA 2012. Lecture Notes in Computer Science(), vol 7506. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33509-9_62
Download citation
DOI: https://doi.org/10.1007/978-3-642-33509-9_62
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-33508-2
Online ISBN: 978-3-642-33509-9
eBook Packages: Computer ScienceComputer Science (R0)